A rope of diameter \( 1 \mathrm{~cm} \) breaks if the tension in it...

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A rope of diameter \( 1 \mathrm{~cm} \) breaks if the tension in it exceeds \( 500 \mathrm{~N} \). The maximum tension that a rope of twice the diameter and double the length made up of same material can bear is
(1) \( 500 \mathrm{~N} \)
(2) \( 1000 \mathrm{~N} \)
(3) \( 2000 \mathrm{~N} \)
(4) \( 4000 \mathrm{~N} \)
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